Lagrangian mechanics without ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Lagrangian mechanics without ordinary differential equations
A variational proof is provided of the existence and uniqueness of evolutions of regular Lagrangian systems. Introduction Let Q be a smooth, finite dimensional manifold and L : TQ → R be a smooth Lagrangian. Evolutions of the Lagrangian system defined by L are by definition the C curves q : [0, h] → R which are critical points of the action Sh = ∫ h 0 L ◦ q(t) dt, subject to the constraint that...
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2006
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(06)80030-3